64056000 has 224 divisors, whose sum is σ = 225381312. Its totient is φ = 15974400.

The previous prime is 64055969. The next prime is 64056007. The reversal of 64056000 is 65046.

It is a super-2 number, since 2×64056000² = 8206342272000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64056007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407922 + ... + 408078.

Almost surely, 2^64056000 is an apocalyptic number.

64056000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112690656).

64056000 is an abundant number, since it is smaller than the sum of its proper divisors (161325312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64056000 is a wasteful number, since it uses less digits than its factorization.

64056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 64056000 is about 8003.4992347098. The cubic root of 64056000 is about 400.1166326554.

The spelling of 64056000 in words is "sixty-four million, fifty-six thousand", and thus it is an eban number.